STABILITY PROBLEMS DERIVING FROM MIXED ADDITIVE AND QUADRATIC FUNCTIONAL EQUATIONS

被引：0

作者：

Kang, Dongseung ^{[1
]}

Koh, Heejeong ^{[1
]}

Cho, In Goo ^{[2
]}

机构：

[1] Dankook Univ, Dept Math Educ, Yongin 448701, Gyeonggi Do, South Korea

[2] Incheon Natl Univ, Fac Liberal Educ, Yeonsu 406772, Incheon, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2015年 / 18卷 / 01期

关键词：

Shadowing property; Cauchy additive mapping; Quadratic mapping; Normed group; Hyers-Ulam-Rassias Stability; BANACH-SPACES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Let n >= 2 be an integer. We obtain the solution of the following mixed additive and quadratic functional equation (4 - n)r(t) f(Sigma(n)(j=1) x(j)/r) + Sigma(n)(i=1)f (Sigma(n)(j=1) (-1)(delta ij) x(j)/r) = 2(t)Sigma(n)(i=1) f(x(i)), where t is an element of {1, 2}, r is an element of R (r not equal n/2, 2 and r(2) not equal n) and the function delta is a Kronecker delta, and we prove the stability in normed group by using shadowing property and the Hyers-Ulam-Rassias stability in Banach spaces.

引用

页码：87 / 98

页数：12

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